I. Given A = {1,2,3,4}. Let R1 = {(1,1), (1,4), (2,1), (2,2), (2,4), (3,1), (3,2), (3,3), (4,4)} and R2 = {(1,1), (1,2), (1,4), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (4,4)}. %3D A. Find: a. R1 U R2 b. R1 N R2 c. R1 – R2 | d. R1' e. R2¬1 B. Draw the digraph of R, R2 and R', C. Draw the line graph each of the given R, and R2 defined by the set of ordered pairs. D. Determine the properties of R1and R2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I. Given A = {1,2,3,4}. Let R1 =
{(1,1), (1,4), (2,1), (2,2), (2,4), (3,1), (3,2), (3,3), (4,4)} and
R2 =
{(1,1), (1,2), (1,4), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (4,4)}.
A. Find:
a. R1 U R2
b. R1 N R2
с. Ri — Rz
d. R1'
e. R2-1
B. Draw the digraph of R, R2 and R2
C. Draw the line graph each of the given R, and R2 defined by the
set of ordered pairs.
D. Determine the properties of R1and R2
Transcribed Image Text:I. Given A = {1,2,3,4}. Let R1 = {(1,1), (1,4), (2,1), (2,2), (2,4), (3,1), (3,2), (3,3), (4,4)} and R2 = {(1,1), (1,2), (1,4), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (4,4)}. A. Find: a. R1 U R2 b. R1 N R2 с. Ri — Rz d. R1' e. R2-1 B. Draw the digraph of R, R2 and R2 C. Draw the line graph each of the given R, and R2 defined by the set of ordered pairs. D. Determine the properties of R1and R2
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